You can't verify the amount on the OpenDime without an internet connection. Why would accept an opendime from you if I have no way of knowing for sure how much bitcoin is on it?
What you say is true.
If not everyone has Internet you could have public kiosks connected to the internet that verify opendimes. That way you could share the internet access basically.
It's just another way of using Bitcoin. The cool thing about it is that you can do it however you want, use any wallet you want, etc.
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